6331309056 has 352 divisors, whose sum is σ = 19808409600. Its totient is φ = 1995079680.

The previous prime is 6331309051. The next prime is 6331309141. The reversal of 6331309056 is 6509031336.

6331309056 is a `hidden beast` number, since 633 + 13 + 0 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×6331309056² = 80170948725175222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6331309056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6331309051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71138260 + ... + 71138348.

Almost surely, 2^6331309056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6331309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904204800).

6331309056 is an abundant number, since it is smaller than the sum of its proper divisors (13477100544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6331309056 is a wasteful number, since it uses less digits than its factorization.

6331309056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 6331309056 is about 79569.5234119195. The cubic root of 6331309056 is about 1849.9692282196.

The spelling of 6331309056 in words is "six billion, three hundred thirty-one million, three hundred nine thousand, fifty-six".